The C 1 Connecting Lemma

Charles C. Pugh

Journal of Dynamics and Differential Equations（1992）

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摘要

Given a smooth flow and two orbits such that theω-limit set of the first meets theα-limit set of the second, can the flow be C1-perturbed to make the orbits coincide? The answer is shown to be “not always.”

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关键词

Recurrence,closing lemma,prolongational recurrence,flow plug

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